A boat travels 154 miles in 5 hours (with a constant speed). Approximately how much time will it take to travel 455 miles?

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

$16.75 + $2.20 = $18.95

$20 - $18.95 = $1.05

Step-by-step explanation:

Brainliest please

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Answer: Points P, M, F, and C are coplanar.

Step-by-step explanation:

Answer:

70.9,109.1,204.0,336.0

Step-by-step explanation:

The solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given equation is 6sin² θ - 7 sinθ = 5

Lets arrange in an order

6sin² θ - 7 sinθ - 5 = 0

a=6, b=-7 and c = -5

sinθ = 7±√49+120/12

Simplifying under the square root:

sinθ =7±17/12

Taking the positive solution first

sinθ =24/12

sinθ =2 (Not valid)

Now let's try the negative solution:

sinθ =7-17/12

sinθ =-10/12

sinθ =-5/6

θ= sin⁻¹(-5/6)

θ= −50.48⁰ ,−129.52⁰

we need to restrict our solution to the given interval [0,360), so we add 360 degrees to the negative angle:

θ=360−50.48 = 309.52 and 360 −129.52 =230.48

Therefore, the solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

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Based on the information given, the null hypothesis states that the newscast reaches 41% of the viewing audience, while the alternate hypothesis states that it does not reach 41% of the audience. So, the correct answer is d. Fail to reject the null hypothesis.

To determine the decision, we need to perform a hypothesis test using the given significance level α = 0.01. This significance level represents the maximum acceptable probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.

In the survey of 100 viewers, 36% indicated that they watch the late evening news on the local CBS station. To test the hypothesis, we can use a one-sample proportion test. We compare this sample proportion to the claimed 41% to see if there is a significant difference.

Using a statistical calculator or software, we calculate the p-value associated with the observed sample proportion. If this p-value is less than α (0.01), we reject the null hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

Based on the decision criteria, if the p-value is less than 0.01, we would reject the null hypothesis and conclude that the newscast does not reach 41% of the audience. However, if the p-value is greater than or equal to 0.01, we would fail to reject the null hypothesis. To summarize, the correct decision, given α = 0.01, would be d. Fail to reject the null hypothesis.

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Answer:

2 Feet

Step-by-step explanation:

perimeter - The distance around a shape or object

Answer:

The poster is 2 feet wide.

Step-by-step explanation:

"Perimeter" is the distance all the way around a shape. To find perimeter you add up all the sides.

Here, we know the perimeter is 10 feet.

P = L + W + L + W

or

P = 2L + 2W

fill in what we know.

10 = 2(3) + 2W

10 = 6 + 2W

subtract 6

4 = 2W

divide by 2

2 = W

The poster is 2 feet wide.

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

Learn more here:

Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..

10 men can complete a job in 200 days. They started the work. After...

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).

To determine whether or not a relationship is proportional, we can see if two given ratios are the same.

We're given:

These pieces of information are ratios. We can write them in the following format:

\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}\) and \(\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)

We can see if they're equivalent by finding a common denominator.

Multiply the first ratio by \(\dfrac{2}2\):

\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)

The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.

Yes, there is a proportional relationship.

Answer:

a)

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

Section 2 did better overall on the exam

Step-by-step explanation:

As given,

Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94

Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98

a)  

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

As,

Standard deviation of section 2 < Standard deviation of section 1

⇒ Students of Section 2 are more consistent.

Also,

mean of Section 2 > mean of Section 1,

⇒average score of Section 2 student > Average score of  Section 1 student.

∴ we get

Section 2 did better overall on the exam.

The answer is f(-2) = 30

The question requires us to substitute the value of x into the function.

if the function is:

then f(-2) means we only need to substitute -2 for x into the equation given.

Therefore,

The final answer is f(-2) = 30

Step-by-step explanation:

The value of the digit 1 in the number 213,456 is 10,000.

The equation that models the problem is  ℓ = 10 x 5.

Multiplication is the process of obtaining a product by combining numbers, matrices, vectors, or other quantities together under certain rules. Multiplication is one of the basic mathematical processes.

ℓ = length of each ribbon x number of ribbons cut

ℓ = 5 inches x 10

ℓ = 50 inches

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Bill's share = $56 Therefore, Bill received $56.

Let's start by setting up some equations based on the given information:

David's share = 1/7 * (Alex's share + Bill's share + Carl's share)

Alex's share = 3/4 * (Bill's share + Carl's share)

Bill's share = 2/5 * Carl's share

The sum of all four shares is $168.

We can use the fourth equation to solve for one of the shares in terms of the others:

Alex's share + Bill's share + Carl's share + David's share = $168

Alex's share + Bill's share + Carl's share = $168 - David's share

Substituting the other equations into this expression, we get:

Alex's share + (2/5 * Carl's share) + Carl's share + (1/7 * (Alex's share + (2/5 * Carl's share) + Carl's share)) = $168

Simplifying this equation, we get:

(8/7) * Alex's share + (22/35) * Carl's share = $168

Now we can use the other equations to solve for Carl's share, and then for Bill's share:

From Bill's share = 2/5 * Carl's share, we get Carl's share = (5/2) * Bill's share

From Alex's share = 3/4 * (Bill's share + Carl's share), we get Alex's share = (3/4) * ((7/2) * Bill's share) = (21/8) * Bill's share

Substituting these expressions into the equation we derived earlier, we get:

(8/7) * (21/8) * Bill's share + (22/35) * (5/2) * Bill's share = $168

3 * Bill's share = $168

Bill's share = $56

Therefore, Bill received $56.

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Answer:

A.

Step-by-step explanation:

I think it is right answer of ur Question

Answer:

If Romona Complete all 30(Don't forget to group all 30) 5/6 were correct! then you will need to subtract 30-5/6= so that would be 29 1/6 Then if you need to find the amount that would be right take the Whole number! so take 30/50 and divide and you should get your answer!

Step-by-step explanation:

i hope this helps

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer: See the diagram below

=================================================

Explanation:

The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).

In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).

In column 2, refer to the figures as A, B, C

Figure 1 matches with figure B

Figure 2 matches with figure C

Figure 3 matches with figure A.

These matches are of course the base with the proper height.

Answer:

$1 for 60

Step-by-step explanation:

60$ is a better deal.

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

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Answer:

Step 2

Step-by-step explanation:

from Step 1      4/3 - 1/3 = 3/3  = 1   =  q   =  q + 1/3 - 1/3

The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

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Step-by-step explanation:

Time = interest ×100/principle ×rate

time = (31250×100)/(2000000×6.25). [after calculation]

time = 0.25 yrs = ¼×12 = 3months.

hope this helps you.

Step-by-step explanation:

The function h(x) = 5 square root x e^-x is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).

1. Calculate h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x)

2. Set h'(x) = 0 to find the critical points.

3. Since h'(x) < 0 for x < 0 and h'(x) > 0 for x > 0, h(x) is decreasing for x < 0 and increasing for x > 0.

4. Therefore, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).

The derivative of h(x) = 5 square root xe^-x is h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x). Setting h'(x) = 0 gives the critical points of the function. Since h'(x) is negative for x < 0 and positive for x > 0, this tells us that the function is decreasing for x < 0 and increasing for x > 0. So, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0). We can also conclude from the graph of the function that it is concave down for x < 0 and concave up for x > 0.

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Answer:

Answer is D!

Step-by-step explanation:

y=-3x-2

Substitute x and y values and check

-3(-2) = 6 - 2 = 4

We want to find the missing number;

Answer: He does have enough crates to ship out the avocados.

Step-by-step explanation: 205 avocados fit inside a shipping container. At a big grove, 7000 avocados were picked. 36 cargo containers belong to the owner. As a result, he can fit a total of = avocados. And since he has 7000 avocados, he does indeed have enough crates to carry the fruit.

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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